Answer:
Opposite angles in a parrellelogram are
congruent.
Answer:
Group the like terms
6x + 3x - x + 9
Work out the x values together and then add the 9
9x - x + 9
8x + 9
your final answer should be about 8x + 9 as it cannot be simplified anymore
Answer:
80% of the buttons were large.
Step-by-step explanation:
Recall that percentages are fractions.
We first need to find the total number of buttons that Eva bought
64 + 16 = 80
Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)
64 ÷ 80 = 0.8
To convert our decimal to a percentage, we must multiply it by 100.
0.8 * 100% = 80%
Therefore, 80% of the buttons were large.
Step-by-step explanation:
5:3=35
5=35×3
5=105
5÷105=0.05
Answer:
3 cm
Step-by-step explanation:
When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.
A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for h by dividing by 9.
The new height is 3 cm.